Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 15997?

The square root of 15997 is 126.4792473096. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15997 = 126.4792473096
CalculatedNon-perfect squareIrrational
Exact form√15997
Perfect squareNo
Number typeIrrational
Verification126.47924730962 ≈ 15997

On this page

How the answer is calculated

We solve x2 = 15997. The resulting value is x = 126.4792473096.

Verification: 126.47924730962 ≈ 15997.

Simplified radical form

The square root of 15997 in simplified radical form is √15997.

There are no square factors that can be taken outside the radical, so √15997 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12615876
Upper or equal12716129

Nearby square roots

NumberSquare root
√15994126.4673871004
√15995126.471340627
√15996126.4752940301
√15997126.4792473096
√15998126.4832004655
√15999126.4871534979
√16000126.4911064067

Number properties

Is 15997 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15997 is irrational because 15997 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 15997.